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141918997176576 = 2834827292
BaseRepresentation
bin100000010001001100010111…
…011010011110000100000000
3200121111022201220222121110000
4200101030113122132010000
5122100200101234122301
61221500404240240000
741615211023122104
oct4021142732360400
9617438656877400
10141918997176576
11412465660a3964
1213b00a29010000
136125b9a154909
142708cb7b5b904
15116198ae5c786
hex81131769e100

141918997176576 has 135 divisors (see below), whose sum is σ = 423181885843101. Its totient is φ = 47305760569344.

The previous prime is 141918997176557. The next prime is 141918997176611. The reversal of 141918997176576 is 675671799819141.

The square root of 141918997176576 is 11912976.

It is a perfect power (a square), and thus also a powerful number.

141918997176576 is a `hidden beast` number, since 1 + 4 + 19 + 18 + 9 + 9 + 7 + 17 + 6 + 576 = 666.

It can be written as a sum of positive squares in only one way, i.e., 57090476318976 + 84828520857600 = 7555824^2 + 9210240^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 141918997176495 and 141918997176504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1715427180 + ... + 1715509908.

Almost surely, 2141918997176576 is an apocalyptic number.

141918997176576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

141918997176576 is the 11912976-th square number.

It is an amenable number.

141918997176576 is an abundant number, since it is smaller than the sum of its proper divisors (281262888666525).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

141918997176576 is an frugal number, since it uses more digits than its factorization.

141918997176576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165486 (or 82734 counting only the distinct ones).

The product of its digits is 1440270720, while the sum is 81.

141918997176576 divided by its sum of digits (81) gives a square (1752086384896 = 13236642).

The spelling of 141918997176576 in words is "one hundred forty-one trillion, nine hundred eighteen billion, nine hundred ninety-seven million, one hundred seventy-six thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20736 82729 165458 248187 330916 496374 661832 744561 992748 1323664 1489122 1985496 2233683 2647328 2978244 3970992 4467366 5294656 5956488 6701049 7941984 8934732 10589312 11912976 13402098 15883968 17869464 21178624 23825952 26804196 31767936 35738928 47651904 53608392 63535872 71477856 95303808 107216784 142955712 190607616 214433568 285911424 428867136 571822848 857734272 1715468544 6844087441 13688174882 20532262323 27376349764 41064524646 54752699528 61596786969 82129049292 109505399056 123193573938 164258098584 184790360907 219010798112 246387147876 328516197168 369580721814 438021596224 492774295752 554371082721 657032394336 739161443628 876043192448 985548591504 1108742165442 1314064788672 1478322887256 1752086384896 1971097183008 2217484330884 2628129577344 2956645774512 3942194366016 4434968661768 5256259154688 5913291549024 7884388732032 8869937323536 11826583098048 15768777464064 17739874647072 23653166196096 35479749294144 47306332392192 70959498588288 141918997176576